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Rachel98
Group Title
I don't really get this.
Question: Use the rules for exponents and roots to prove that 512^2/3 = 16^3/2
 one year ago
 one year ago
Rachel98 Group Title
I don't really get this. Question: Use the rules for exponents and roots to prove that 512^2/3 = 16^3/2
 one year ago
 one year ago

This Question is Closed

mjr632 Group TitleBest ResponseYou've already chosen the best response.0
Do you mean a rigorous formal proof?
 one year ago

Rachel98 Group TitleBest ResponseYou've already chosen the best response.0
I don't really know. This is what the question was and I don't get it.
 one year ago

mjr632 Group TitleBest ResponseYou've already chosen the best response.0
Do you understand how to use logarithms?
 one year ago

mjr632 Group TitleBest ResponseYou've already chosen the best response.0
Ah, you will want to understand natural logarithms for this question, I can explain it.
 one year ago

mjr632 Group TitleBest ResponseYou've already chosen the best response.0
\[y = \log_b x\] \[x = b^y\]
 one year ago

mjr632 Group TitleBest ResponseYou've already chosen the best response.0
If we take the natural logarithm of \[512^{\frac{2}{3}}\] \[\frac{2}{3}\ln(512)\]
 one year ago

mjr632 Group TitleBest ResponseYou've already chosen the best response.0
We can pull the exponent out
 one year ago

Rachel98 Group TitleBest ResponseYou've already chosen the best response.0
So, is that a cube root? That we ended up with?
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.1
dw:1360950294527:dw
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.1
dw:1360950347726:dw
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.1
dw:1360950360574:dw
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.1
dw:1360950390774:dw
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.1
dw:1360950432326:dw
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.1
yes they are both equivalent
 one year ago

Rachel98 Group TitleBest ResponseYou've already chosen the best response.0
Thanks, so much. That makes sense now.
 one year ago

precal Group TitleBest ResponseYou've already chosen the best response.1
no need to use logs here
 one year ago

ghass1978 Group TitleBest ResponseYou've already chosen the best response.1
just using exponents :512=2^9 so 512^(2/3)=2^6 and 16^(3/2)=2^6 so both are equal
 one year ago
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